Consider the following reaction at 298 K. 3/2 O_2(g) ⇌ O_3(g). K_P =2.47 × 10^-29. Δ_r G^ for the reaction is ____ kJ. (Given R =8.314 JK^-1 mol^-1 )

Consider the following reaction at $\displaystyle 298$ K. $\displaystyle \frac{3}{2} \mathrm{O}_{2(g)} \rightleftharpoons \mathrm{O}_{3(g)}$. $\displaystyle \mathrm{K}_{\mathrm{P}}=2.47 \times 10^{-29}$. $\displaystyle \Delta_{\mathrm{r}} \mathrm{G}^{\ominus}$ for the reaction is $\displaystyle \_\_\_\_$ kJ . (Given $\displaystyle \mathrm{R}=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$ )